Answer:
6/7 ≈ 85.7%
Step-by-step explanation:
The probability that a 0 was transmitted and received is 0.5·0.9 = 0.45.
The probability that a 1 was transmitted and a 0 received is 0.5·0.15 = 0.075.
Then the probability that a 0 was received is 0.45 +0.075 = 0.525.
The probability of interest is ...
p(0 transmitted | 0 received) = p(0 transmitted & received)/p(0 received)
= 0.45/0.525 = 6/7 ≈ 85.7%
21
The value of the home after 21 years is 200,000(1.035)^21=411,886.29
Answer: See explanation
Step-by-step explanation:
The dimensions of the first drawing will be 1/3 the dimensions of the leaf and the dimension of the oak leaf is 5 1/2 inches. Therefore, the dimensions of the 1st leaf:
= 1/3 × 5 1/2
= 1/3 × 11/2
= 11/6
= 1 5/6 inches
This is less than 5 1/2 inches
The dimensions of the second drawing will be 2 1/2 the dimensions of the leaf. This will be:
= 2 1/2 × 5 1/2
= 5/2 × 11/2
= 55/4
= 13 3/4 inches
Thus is greater than 5 1/2 inches
38 (average) - 29.777 (this year) = 8.223 inches less this year than the average year.